Please show your work Problem 14.07 The Eiffel Tower in Paris is 984ft tall and

Question

Please show your work

Problem 14.07 The Eiffel Tower in Paris is 984ft tall and is made mostly of steel Part A If this is its height in winter when its temperature is -8.00 oC, how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 40.7°C? reset shortcuts help ft Submit My Answers Give U Incorrect Try Again, 4 attempts remaining Part B Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees CO reset shortcuts help (F) 3.3.10 Submit My Answers Give Up Incorrect Try Again, 4 attempts remaining Provide Feedback Continue

Explanation / Answer

assuming linear thermal expansion is the only factor at play here:

delta(L) = L*alpha*delta(T), where L is the length, alpha is the thermal coeff, and T is the temperature

alpha = 12 * 10^-6 per degree C ---approximation given by wiki
convert to F:
= 12 * 10^-6 * 5/9 = 60/9 * 10^-6

convert the temperature difference to degrees F
49.5*9/5 = 89.1F

delta(L) = 984ft * 60/9 * 10^-6F^-1 * 89.1F
delta(L) = 0.5845 ft

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